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3 years ago

The price s of a pair of shoes plus 5% sales tax

Mathematics

1 answer:

zzz [600]3 years ago

3 0

An expression for that would be s + 0.05s, or 1.05s.

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If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324

zubka84 [21]

Answer:

c = 31.5

Step-by-step explanation:

Given c varies directly as $\sqrt{d}$ then the equation relating them is

c = k $\sqrt{d}$ ← k is the constant of variation

To find k use the condition c = 14 when d = 64, then

14 = k × $\sqrt{64}$ = 8k ( divide both sides by 8 )

1.75 = k

c = 1.75 $\sqrt{d}$ ← equation of variation

When d = 324 , then

c = 1.75 × $\sqrt{324}$ = 1.75 × 18 = 31.5

5 0

3 years ago

A furnace delivers 8.0 × 104 btu per hour. how many kilocalories per hour is this?

vazorg [7]

For this case the first thing you should know is the following unit conversion.
1 BTU = 0.25 Kilocalories
We then have the following numerical value:
$8.0 * 10 ^ 4 \frac{BTU}{h}$
Applying the conversion of units we have:
$8.0 * 10 ^ 4 \frac{BTU}{h} * 0.25 \frac{Kcal}{BTU}$
Canceling units we have:
$20000 \frac{Kcal}{h}$
Answer:
This is 20000 kilocalories per hour
$20000 \frac{Kcal}{h}$

6 0

3 years ago

Emilia has a bag of colored marbles. The bag contains the same ratio of red marbles to blue marbles as the ratio of green marble

Nana76 [90]

A is the correct answer

Hope this helps!

8 0

3 years ago

9.054 x 10^-6 in standard form

ki77a [65]

0.000009054
it’s five zeros after that decimal.

8 0

3 years ago

The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f

kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

$-1 \times (16t^2 +18t -405)$

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of two binomial factors.

For constant 405, possible factorizations are $(81\times 5, 27 \times 15, 9 \times 45).$

$(16t^2 +18t -405) = (8t + 45) (2t - 9)$

Taking first factor, thus we find negative value for given time t. But second time equivalent to zero gives the value of 4.5 for t

Thus ball hits the ground after 4.5 sec

3 0

4 years ago